- #1
nemixus
- 2
- 0
Homework Statement
Assume your car’s suspension consists of 4 identical springs (one at each wheel). You notice that to support the mass of the car, each spring is compressed from its equilibrium length by 10 cm. The total “suspended” mass of your car is 1000 kg.
a) Determine the spring constant k of each of your suspension springs.
b) You drive with worn out shock absorbers over a roadway that has periodic small dips in it spaced 10 m apart (this can occur, for example, when the roadway is constructed by pouring concrete in uniform segments; the gaps between the smooth segments constitute such evenly spaced dips). What speed should you avoid, to prevent your car from bouncing wildly up and down?
(I already found a). Just need to do b), thanks)
Homework Equations
force downwards = mg = force radial = m*a (radial)
The Attempt at a Solution
So the car would not lift up when going over the bump so not to cause force upwards and making the car bounce
radius = r = 5 meters
force downwards = mg = force radial = m*a (radial)
mg = m*(v^2)/r
sqrt(g*r) = v
v = 7 m/s